Feel free to narrow down to one drink per character. There are a few for past characters as well. Sorry I'm really bad with slogans.
Aang: Rock Me Like A Hurricane Hurricane (rum, orange juice, grenadine, pineapple juice, pineapple garnish) available virgin "Unleash your inner Avatar State!"
Altair: The Man in the White Hood Arak and water "Best with our Exotic Appetizer Sampler."
Anna of Arendelle: Chocolate Winter Margarita Frozen hot chocolate, tequila, Kahlua, Grand Marnier, chocolate sprinkles rim, available virgin "A real icebreaker!"
Arya: Northern Comfort Wine mulled with cloves, nutmeg, cinnamon, brandy, maple syrup "Get toasty, because winter is coming."
Bayard: The Bae Vanilla bean Bourbon milkshake, whipped cream, chocolate sprinkles, available virgin "Try it with our Precious Cinnamon Rolls™"
Dave Strider: Dave Cider Hard apple cider, cherry garnish "Perfect with Karkat Tantrum Bingo™!"
Disciple: Untame Me Martini, extra dirty, extra olives "We're not fucking around."
Éowyn: Honey Locks Mulled mead "Brought to you by District 10 Horse Ranch and Brewery. Horse delivery available for private parties."
Eren: The Titan Jägerbomb using double shot glass and extra-large beer stein "Break down those walls with this drink!"
Karkat: Hot Lava Shot Shot of cherry spiced rum, fire "This drink is on fiiiireeeeee!"
Harley: The Punchline (sorry I stole this, I wanted a recipe for something she actually drank in game!) Cherry liqueur, rum, black licorice vodka jello cubes
Meulin: Through the Louching Glass Absinthe in louche glass with anise-flavored purple straw "Hypnotic! (Note: definitely not made with purple anise.)"
Porrim: Cosmic Cocktail Cosmopolitan topped with champagne, mint garnish
Ψiioniic: Appleberry Blast, Sr. Apple (red curaçao) and berry (blue curaçao) liquor separated in a partitioned glass, honey and pop rocks rim, two straws "Remember to catch The Games in 3D!"
Punchy: One For My Homies 40 oz malt liquor of your choice "Only available to go. Ask us about our private party eulogy special."
Sansa: Auburn Wassail Wassail (apple cider, pomegranate, cognac, rum, cloves, nutmeg, maple syrup) available virgin
Signless: Cordial Rose Red rose cordial, brandy, cinnamon stick garnish "Inspired by Signless's favorite ice cream flavor!"
Signless or Leo: Do The Worm Tequila worm shot, extra worms. Optional worm platter available. "Signless/Leo shippers unite!"
Sollux: Appleberry Blast, Jr. Raspberry juice, pineapple juice, raspberry liqueur, vodka, blue pop rocks rim, two straws, available virgin "Sized for two!"
Terezi: Justice Is Served Cherry mojito with turquoise sugar rim, lime garnish, available virgin
Wednesday: It Must Be Wednesday Tequila, blackberries, licorice tincture, garnished with orange, available virgin "Too spooky!"
i work in a restaurant, that's my excuse
Aang: Rock Me Like A Hurricane
Hurricane (rum, orange juice, grenadine, pineapple juice, pineapple garnish) available virgin
"Unleash your inner Avatar State!"
Altair: The Man in the White Hood
Arak and water
"Best with our Exotic Appetizer Sampler."
Anna of Arendelle: Chocolate Winter Margarita
Frozen hot chocolate, tequila, Kahlua, Grand Marnier, chocolate sprinkles rim, available virgin
"A real icebreaker!"
Arya: Northern Comfort
Wine mulled with cloves, nutmeg, cinnamon, brandy, maple syrup
"Get toasty, because winter is coming."
Bayard: The Bae
Vanilla bean Bourbon milkshake, whipped cream, chocolate sprinkles, available virgin
"Try it with our Precious Cinnamon Rolls™"
Dave Strider: Dave Cider
Hard apple cider, cherry garnish
"Perfect with Karkat Tantrum Bingo™!"
Disciple: Untame Me
Martini, extra dirty, extra olives
"We're not fucking around."
Éowyn: Honey Locks
Mulled mead
"Brought to you by District 10 Horse Ranch and Brewery. Horse delivery available for private parties."
Eren: The Titan
Jägerbomb using double shot glass and extra-large beer stein
"Break down those walls with this drink!"
Karkat: Hot Lava Shot
Shot of cherry spiced rum, fire
"This drink is on fiiiireeeeee!"
Karkat: Crab Me Maybe
Deluxe Bloody Mary garnished with soft-shell crab, shrimp, and olives, available virgin
Harley: The Punchline (sorry I stole this, I wanted a recipe for something she actually drank in game!)
Cherry liqueur, rum, black licorice vodka jello cubes
Meulin: Through the Louching Glass
Absinthe in louche glass with anise-flavored purple straw
"Hypnotic! (Note: definitely not made with purple anise.)"
Molotov Cocktease: Molotov Cocktail
Vodka, 151 proof rum, fire
"Caution: Hot!"
Porrim: Cosmic Cocktail
Cosmopolitan topped with champagne, mint garnish
Ψiioniic: Appleberry Blast, Sr.
Apple (red curaçao) and berry (blue curaçao) liquor separated in a partitioned glass, honey and pop rocks rim, two straws
"Remember to catch The Games in 3D!"
Punchy: One For My Homies
40 oz malt liquor of your choice
"Only available to go. Ask us about our private party eulogy special."
Roland: Meatslinger
Deluxe Bloody Mary garnished with three burgers and beef jerky
"One burger isn't enough."
Sansa: Auburn Wassail
Wassail (apple cider, pomegranate, cognac, rum, cloves, nutmeg, maple syrup) available virgin
Signless: Cordial Rose
Red rose cordial, brandy, cinnamon stick garnish
"Inspired by Signless's favorite ice cream flavor!"
Signless or Leo: Do The Worm
Tequila worm shot, extra worms. Optional worm platter available.
"Signless/Leo shippers unite!"
Sollux: Appleberry Blast, Jr.
Raspberry juice, pineapple juice, raspberry liqueur, vodka, blue pop rocks rim, two straws, available virgin
"Sized for two!"
Terezi: Justice Is Served
Cherry mojito with turquoise sugar rim, lime garnish, available virgin
Wednesday: It Must Be Wednesday
Tequila, blackberries, licorice tincture, garnished with orange, available virgin
"Too spooky!"